To find the average velocity for the entire trip, we need to calculate the total displacement and the total time taken.
1. First, let's calculate the total displacement:
- You rode 3.6 miles down the road before getting a flat tire.
- Then, you walked 0.5 miles to the bike shop.
- Therefore, the total displacement is 3.6 + 0.5 = 4.1 miles.
2. Next, let's calculate the total time taken:
- The time taken for the bike ride alone can be found by dividing the distance by the speed:
Time = Distance / Speed = 3.6 miles / 9.0 mi/hr = 0.4 hours.
- The time taken for the walk to the bike shop is given as 12 minutes. We need to convert it to hours by dividing by 60:
Time = 12 minutes / 60 = 0.2 hours.
- Therefore, the total time taken for the entire trip is 0.4 hours + 0.2 hours = 0.6 hours.
3. Finally, let's find the average velocity:
- Average velocity is defined as displacement divided by time:
Average Velocity = Total Displacement / Total Time = 4.1 miles / 0.6 hours.
- Simplifying, we get: Average Velocity = 6.83 mi/hr.
Therefore, the average velocity for the entire trip is 6.83 mi/hr.